The following results are from data that were collected from the various high schools around the county. The dependent variable is % OF STUDENTS GOING TO COLLEGE, and the independent variables are: AVERAGE CLASS SIZE, COMBINED SAT SCORES, SPENDING PER STUDENT, AVERAGE TEACHER SALARY, AND % TAKING THE SAT Since the 3 variables AVERAGE CLASS SIZE, SPENDING PER STUDENT, AND AVERAGE TEACHER SALARY are each not significant at the 10% level of significance individually, in order to test to see if as a group they are significant the 3 variables are excluded and another regression is run. The results are as follows: a) At the 10% level of significance, test whether as a group AVERAGE CLASS SIZE, SPENDING PER STUDENT, AND AVERAGE TEACHER SALARY are significant. Be sure to state the null and alternative hypotheses for this hypothesis test.
The following results are from data that were collected from the various high schools around the county. The dependent variable is % OF STUDENTS GOING TO COLLEGE, and the independent variables are: AVERAGE CLASS SIZE, COMBINED SAT SCORES, SPENDING PER STUDENT, AVERAGE TEACHER SALARY, AND % TAKING THE SAT Since the 3 variables AVERAGE CLASS SIZE, SPENDING PER STUDENT, AND AVERAGE TEACHER SALARY are each not significant at the 10% level of significance individually, in order to test to see if as a group they are significant the 3 variables are excluded and another regression is run. The results are as follows: a) At the 10% level of significance, test whether as a group AVERAGE CLASS SIZE, SPENDING PER STUDENT, AND AVERAGE TEACHER SALARY are significant. Be sure to state the null and alternative hypotheses for this hypothesis test.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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8) The following results are from data that were collected from the various high schools around the county. The dependent variable is % OF STUDENTS GOING TO COLLEGE, and the independent variables are: AVERAGE CLASS SIZE, COMBINED SAT SCORES, SPENDING PER STUDENT, AVERAGE TEACHER SALARY, AND % TAKING THE SAT
Since the 3 variables AVERAGE CLASS SIZE, SPENDING PER STUDENT, AND AVERAGE TEACHER SALARY are each not significant at the 10% level of significance individually, in order to test to see if as a group they are significant the 3 variables are excluded and another regression is run. The results are as follows:
a) At the 10% level of significance, test whether as a group AVERAGE CLASS SIZE, SPENDING PER STUDENT, AND AVERAGE TEACHER SALARY are significant. Be sure to state the null and alternative hypotheses for this hypothesis test.
Transcribed Image Text:8)
The following results are from data that were collected from the various high schools around the
county. The dependent variable is % OF STUDENTS GOING TO COLLEGE, and the independent
variables are: AVERAGE CLASS SIZE, COMBINED SAT SCORES, SPENDING PER STUDENT,
AVERAGE TEACHER SALARY, AND % TAKING THE SAT
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.772
R Square
0.596
Adjusted R Square
0.428
Standard Error
11.22
Observations
18
ANOVA
df
F
Significance F
SS
MS
Regression
2232.7
446.54
3.55
0.034
Residual
12
1510.4
125.87
Total
17
3743.1
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
33.71
63.28
0.53
0.60
-104.16
171.58
Intercept
-1.55765
1.09014
-1.42885
0.17856
-3.93287
0.81756
Average Class Size
0.07689
0.03737
2.05735
0.06206
-0.00454
0.15831
Combined SAT Score
-0.00243
0.00166
-1.46611
0.16833
-0.00603
0.00118
Spending Per Student ($)
-0.00026
0.00064
-0.40451
0.69296
-0.00165
0.00113
Average Teacher Salary ($)
0.28520
0.11545
2.47044
0.02947
0.03367
0.53673
% Taking SAT
Transcribed Image Text:Since the 3 variables AVERAGE CLASS SIZE, SPENDING PER STUDENT, AND AVERAGE
TEACHER SALARY are each not significant at the 10% level of significance individually, in order to test
to see if as a group they are significant the 3 variables are excluded and another regression is run. The
results are as follows:
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.685
R Square
0.469
Adjusted R Square
0.399
Standard Error
11.51
Observations
18
ANOVA
df
SS
MS
Significance F
F
Regression
1756.7
878.4
6.63
0.0086
Residual
15
1986.4
132.4
Total
17
3743.1
P-
Coefficients
Standard Error
t Stat
value
Lower 95%
Upper 95%
Intercept
-26.93
33.39
-0.81
0.43
-98.10
44.24
Combined SAT Score
0.0838
0.0340
2.4623
0.0264
0.0113
0.1563
% Taking SAT
0.2045
0.0926
2.2085
0.0432
0.0071
0.4018
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